38358436223664 has 480 divisors, whose sum is σ = 116582035415040. Its totient is φ = 11729802240000.

The previous prime is 38358436223641. The next prime is 38358436223669. The reversal of 38358436223664 is 46632263485383.

38358436223664 is a `hidden beast` number, since 3 + 8 + 35 + 8 + 4 + 362 + 236 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (38358436223669) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7168458589 + ... + 7168463939.

It is an arithmetic number, because the mean of its divisors is an integer number (242879240448).

Almost surely, 2^{38358436223664} is an apocalyptic number.

38358436223664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38358436223664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58291017707520).

38358436223664 is an abundant number, since it is smaller than the sum of its proper divisors (78223599191376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38358436223664 is a wasteful number, since it uses less digits than its factorization.

38358436223664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929 (or 5920 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 63.

The spelling of 38358436223664 in words is "thirty-eight trillion, three hundred fifty-eight billion, four hundred thirty-six million, two hundred twenty-three thousand, six hundred sixty-four".